If the earth shrinks such that its mass does not change but radius decreases to one quarter of its original value then one complete day will take

The weight of a body on surface of earth is 12.6 N. When it is raised to a height half the radius of earth, its weight will be

A satellite of mass $$\mathrm{m}$$ rotates round the earth in a circular orbit of radius R. If the angular momentum of the satellite is J, then its kinetic energy $$(\mathrm{K})$$ and the total energy (E) of the satellite are

Acceleration due to gravity at a height H from the surface of a planet is the same as that at a depth of H below the surface. If R be the radius of the planet, then H vs. R graph for different planets will be,